Page 9 - Mathematics Grade 11 Manual
P. 9

GR 11 MATHEMATICS  - Unit 1:  Number and number relationships                                 8

            Whole numbers:               Whole numbers is a set of numbers which starts with 0 and

                                         increases in units of one to infinity.


            Integers:      Integers are a set of numbers which includes all natural and whole numbers and

                           contains all the negative whole numbers.



            2.      EXPONENTS AND SURDS


            2.1     Revision of exponential laws



                                   
            1.      x   a  x   b  x a b
                                   
            2.      x   a  x   b  x a b


            3.      x   0  1, x   0
                            1
                      
                       a
            4.      x    
                           x a
                       a b
                     x
            5.      ( )      x ab
                      a
                              a
                      b
            6.      x    b  x

            Exercise 1



            Simplify:


                                                                                            2y
                                                                               x
                                                                                     x y
            1.      a   3  a a  5                                   2.      s   s t    t    s 2x
                    2xy x y  4  3                                            3   x  3 x 1   2
            3.                                                        4.             3x
                                                                                 3
                         4
                     8xy   xy                                                 8   3   1
                    3   12a   81 a  1   9 a                               3   a  3 a  1   3 2 a
            5.                                                        6.        a 1   a     a
                          3 9  3a                                             3      3   3




                                                      Ivy Academy®
   4   5   6   7   8   9